Semi-analytical Elastoplastic Solutions for Mode-I-Crack Specimens Based on Energy Density Equivalence and Three-dimensional Sizes

doi:10.3901/JME.2022.14.241

Abstract

Abstract: Mode-I-crack is the main type of cracks in engineering structure components. In the last half century, elastoplastic fracture mechanics mainly focused on plane problem of mode-I-creak. However, for three-dimensional specimens of the ductile materials with mode-I-crack, it is still very difficult to obtain analytical expressions for the J-integral. Based on the energy density equivalence, for mode-I-crack specimens with three-dimensional sizes of ductile materials, two novel semi-analytical models are proposed to describe the load vs. J-integral relation and load vs. displacement relation, respectively, and the seven theoretical constants of the two model can be simply determined by three-dimensional elastoplastic finite element analysis (FEA). Three-dimensional finite element analysis for six types of mode-I-crack specimens with different materials and different dimensional sizes were carried out. It shows that the results predicted by the novel models for the load vs. J-integral curves and load vs. displacement curves of different types of the specimens with different materials and different sizes are closely consistent with those from FEA, and the fit goodness between the curves predicted by the model and those from FEA are greater than 0.94. The new model can be used to develop fracture performance test methods of non-traditional specimen.

Key words: mode-I-crack, J-integral, energy density equivalence, ductile materials, analytical model

CLC Number:

O346

XIAO Huairong, CAI Lixun, YU Simiao, BAO Chen. Semi-analytical Elastoplastic Solutions for Mode-I-Crack Specimens Based on Energy Density Equivalence and Three-dimensional Sizes[J]. Journal of Mechanical Engineering, 2022, 58(14): 241-251.

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